论电量子走谱及相关 CMV 矩阵

arXiv - MATH - Spectral Theory Pub Date : 2024-08-22 DOI:arxiv-2408.12724

Fan Yang

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引用次数: 0

摘要

在本论文中，我们证明了对于一族带电场的量子漫步模型，任何无理场的谱都是单位圆。这一结果对于由偏移定义的相关 CMV 矩阵也是成立的，同时还得到了在高维环上对具有偏移的 CMV 矩阵的广义解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the spectrum of electric quantum walk and related CMV matrices

In this note, we show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matrices defined by skew-shifts. Generalizations to CMV matrices with skew-shifts on higher dimensional torus are also obtained.

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arXiv - MATH - Spectral Theory

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